Find the number of iterations requir ed to solve f(x) =sin(e")+x in (-1,0) by bisecti on method so that the relative error must be less than 10 a. 19 Ob. 21 C. None of these d. 20
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- Use Gauss-Siedel. Continue performing iterations until two successive approximations are identical when rounded to three significant digits.the root of the function f(x)= (x power 3) +x -1 obtained after first iteration on application of newton - raphson secheme using initial guess of x0=1 isprevious answer to this was INCORRECT on the last part. plz show steps
- 5. Klein is located on the tangent line to y=3x2 -x at x = 1.Assume that your computer completes a 5000 equation back substitution in 0.005 seconds. Use the approximate operation counts n2 for back substitution and 2n3/3 for elimination to estimate how long it will take to do a complete Gaussian Elimination of this size. Round your answer to the nearest second.suppose the quantity of a substance, Q, decreases by 6.5% in 10 hours 1. find a formula for the quanity Q at any hour t, Use Q0 for the inital quanity and round up the decay factor to four decimal places
- 3. The function f(x) = xe=^(-x) has a unique root x = 0.(a) Compute several iterations of the Newton's method, and conclude that the methoddoes not succeed if x_0 > 1.(b) Draw graphs to illustrate the rst few iteration when x_0 = 0.5 and x_0 = 1.5.Use Taylor's residual formula to give an estimate of π / 4 = tan − 1(1) (without to use the π button on the calculator): Show that the residual term E1 (1) is in between−1 and 0 and that π / 4 is equal to P1 (1) - 1/4 = 3/4 with an error less than 1/4Find a successive approximation of the square root of 2 as a ratio of two integers by using the Newton –Raphson method analytically. Use the 1 as a starting point and provide at least 10 iterations.